Theory of holey twistsonic media

Abstract Rotating two overlapping lattices relative to each other produces the well known moiré interference patterns and has surprisingly led strongly correlated superconductivity in twisted bilayer graphene. This seminal effect that is associated with electrons occupying flat dispersion bands stimulated a surge of activities classical wave physics such as acoustics explore equivalent scenarios. Here, we mimic by employing rigorous sound expansion technique conduct band engineering holey plates, i.e., twistsonic media. Our numerical findings show how one flexibly able design characteristics alone are controlled twist angle interlayer air separation. More specifically, our approach provides significant advantage both computational speed storage size comparison widely used commercial finite-element-method solvers. We foresee should stimulate further studies terms exotic topological phases.